Results 51 to 60 of about 962 (220)

High‐resolution X‐ray scanning with a diffuse Huffman‐patterned probe to reduce radiation damage

Journal of Synchrotron Radiation, Volume 32, Issue 3, Page 700-717, May 2025.
This paper introduces high‐resolution imaging using diffuse probes, which allow for lower energy deposition per unit area per unit time, by encoding Huffman‐like patterns onto them, enabling a tighter impulse response. The approach, demonstrated in X‐ray imaging, involves using specially fabricated masks to shape the probe and recover sharp object ...
Alaleh Aminzadeh, Andrew M. Kingston, Lindon Roberts, David M. Paganin, Timothy C. Petersen, Imants D. Svalbe   +5 more
wiley   +1 more source

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Mathematics
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Chebyshev polynomials and their some interesting applications

Advances in Difference Equations, 2017
The main purpose of this paper is by using the definitions and properties of Chebyshev polynomials to study the power sum problems involving Fibonacci polynomials and Lucas polynomials and to obtain some interesting divisible properties.
Chen Li, Zhang Wenpeng
doaj   +1 more source

A numerical method to solve fractional Fredholm-Volterra integro-differential equations

Alexandria Engineering Journal, 2023
The Goolden ratio is famous for the predictability it provides both in the microscopic world as well as in the dynamics of macroscopic structures of the universe. The extension of the Fibonacci series to the Fibonacci polynomials gives us the opportunity
Antonela Toma, Octavian Postavaru
doaj   +1 more source

Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial Sequences [PDF]

Kyungpook mathematical journal, 2017
In this paper we study the Fibonacci numbers and derive some interesting properties and recurrence relations. We prove some charecterizations for $F_p$, where $p$ is a prime of a certain type. We also define period of a Fibonacci sequence modulo an integer, $m$ and derive certain interesting properties related to them.
Laugier, Alexandre, Saikia, Manjil P.
openaire   +3 more sources

A classification of infinite staircases for Hirzebruch surfaces

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four‐ball (or equivalently, the complex projective plane) by McDuff and ...
Nicki Magill, Ana Rita Pires, Morgan Weiler   +2 more
wiley   +1 more source

On the power sums problem of bi-periodic Fibonacci and Lucas polynomials

AIMS Mathematics
This paper mainly discussed the power sums of bi-periodic Fibonacci and Lucas polynomials. In addition, we generalized these results to obtain several congruences involving the divisible properties of bi-periodic Fibonacci and Lucas polynomials.
Tingting Du , Li Wang
doaj   +1 more source

On the Chebyshev polynomials and some of their new identities

Advances in Difference Equations, 2020
The main purpose of this paper is, using the elementary methods and properties of the power series, to study the computational problem of the convolution sums of Chebyshev polynomials and Fibonacci polynomials and to give some new and interesting ...
Di Han, Xingxing Lv
doaj   +1 more source

Strong bounds and exact solutions to the minimum broadcast time problem

International Transactions in Operational Research, Volume 32, Issue 1, Page 314-352, January 2025.
Abstract Given a graph and a subset of its nodes, referred to as source nodes, the minimum broadcast time problem asks for the minimum number of steps in which a signal can be transmitted from the sources to all other nodes in the graph. In each step, the sources and the nodes that already have received the signal can forward it to at most one of their
Marika Ivanova, Dag Haugland, Bård Hennning Tvedt   +2 more
wiley   +1 more source

Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials

Mathematics
In this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud, Salah Boulaaras, Ali Allahem   +2 more
doaj   +1 more source